Is 165983 a prime number?

165 983 is an odd number, because it is not evenly divisible by 2.

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• What is an even number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 165 983 is about 407.410.

Thus, the square root of 165 983 is not an integer, and therefore 165 983 is not a square number.

Anyway, 165 983 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 165 983) is the result of the product of this number (165 983) by itself (i.e., 165 983 × 165 983); the square of 165 983 is sometimes called "raising 165 983 to the power 2", or "165 983 squared".

The square of 165 983 is 27 550 356 289 because 165 983 × 165 983 = 165 983² = 27 550 356 289.

As a consequence, 165 983 is the square root of 27 550 356 289.

165 983 is a number with 6 digits.

The multiples of 165 983 are all integers evenly divisible by 165 983, that is all numbers such that the remainder of the division by 165 983 is zero. There are infinitely many multiples of 165 983. The smallest multiples of 165 983 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 165 983 too, since 0 × 165 983 = 0
• 165 983: indeed, 165 983 is a multiple of itself, since 165 983 is evenly divisible by 165 983 (we have 165 983 / 165 983 = 1, so the remainder of this division is indeed zero)
• 331 966: indeed, 331 966 = 165 983 × 2
• 497 949: indeed, 497 949 = 165 983 × 3
• 663 932: indeed, 663 932 = 165 983 × 4
• 829 915: indeed, 829 915 = 165 983 × 5
• etc.

• Preceding numbers: …165 981, 165 982
• Following numbers: 165 984, 165 985…

Nearest numbers from 165 983

• Preceding prime number: 165 961
• Following prime number: 166 013